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Finding the Fourth Proportional to 50,564.43, 75,856.41 and 19,397.25

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Solution

The fourth proportional to 50,564.43, 75,856.41 and 19,397.25 is: 29,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564.43 : 75,856.41 = 19,397.25 : x
  2. Step 2: Convert to fraction form
    50,564.43/75,856.41 = 19,397.25/x
  3. Step 3: Cross multiply
    50,564.43x = 75,856.41 × 19,397.25
  4. Step 4: Simplify right side
    50,564.43x = 1,471,405,748.87
  5. Step 5: Solve for x
    x = 1,471,405,748.87/50,564.43
  6. Step 6: Final answer
    x = 29,099.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.